9. (§7.6) Let f(t) be the following piecewise continuous function. if 0 < t < 2 if 2 < t < 4 if 4 < t { Sketch the graph of f(t) and compute F(s) = L{f(t)}. f(t) = 3 2t-3 5

Q: x(x2 – 1) x2 +1 63. GU Let h(x) and the increasing/decreasing behavior of f. Sketch a plausible…

A: We use a graphing calculator to graph h(x)

Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

A:

Q: Determine whether f(t) is continuous, piecowise continuous, or neither on (0, 40, Ost<3 (1)= t+13,…

A: Explained below

Q: 4. (a) Suppose that a function f satisfies |f (x)| < |x| for all x. Show that f is continuous at 0.…

A:

Q: V2(x+3): xEQ x² + 3x: x €Q Let f: R R be defined as f(x)=. The set of all points at which f is…

A:

Q: . Let G(x)= x+3)2, if x ≤ -1; 2-x if 1<<1; Find all values of a where G is not continuous. , if x 1.

A:

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: Hi, only parts c through h please! 15. Write the range of each function. (a) Let A = {2,3,4,5) and…

A:

Q: Determine the point at which the function f(x) = = '? Removable Jump Infinite None of these 1.…

A: We can find where the function is discontinuous.

Q: Show that the functions f: R → R defined below are continuous. (a) f(=) =2-z; (b) f(z) = 2 - 3z. (c)…

A: a). fx=2-x Let c be any real number. Now, fc=2-c &amp; limx→cfx=limx→c2-x=2-c Clearly, limx→cfx=fc…

Q: S 2* + 1, if x < 0 l Vx + 3, if x = 0 10. a) Sketch the graph of f(x) where f(x) = b) Is f(x)…

A:

Q: t if t3 Find a value of A such that the function f(t) is continuous for all t.

A: We have given f(t).  And f(t) is continuous for all t.  It means f(t) must be continuous at t=3

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

A:

Q: Let f(x) = 4+x if x < −2 if -2 ≤ x < 2. 6 x - if x ≥ 2 Sketch the graph of f. y 4 SH 3 2 4 2 2 4 2 X

A: ANSWER :​​   I have provided another graph without points, so it'll  be clearly visible .Here it is…

Q: Let f(x) be the piecewise function -2x + k f(x) = { x² + 1 if x < 1 if x ≥ 1

A: for continuous function

Q: Let 2x - x if 0 4 (a) For each of the numbers 2, 3, and 4, dctcrmine whether g is continuous from…

A: We are given                 . For (a), For each numbers 2, 3, and 4, we need to determine whether g…

Q: Which of the following graph shows that f (z) = |r - 2| is continuous but not differentiable at x =…

A:

Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: 3- Find the value of k So that the function f is continuous at the indicated point: (kx², if x 2…

A:

Q: Consider the graph below. 4) (1, 4) -1,52) (3.-4) (-4, 5) Determine if f is continuous at x = c. (a)…

A: Given  The graph of the function    Definition of Continuity :- A function f is continues at x= c…

Q: 6et-8) _6 if 0 8

A: